Polyakov Lines in Yang-Mills Matrix Models

Details Polyakov Lines in Yang-Mills Matrix Models Polyakov Lines in Yang-Mills Matrix Models

2003-09-02

arxiv.org/abs/hep-th/0309026v3

JHEP 0309 (2003) 023

Physics

High Energy Physics

High Energy Physics - Theory

19 pages, v2 typos corrected, v3 ref added

Scientific paper

10.1088/1126-6708/2003/09/023

We study the Polyakov line in Yang-Mills matrix models, which include the IKKT model of IIB string theory. For the gauge group SU(2) we give the exact formulae in the form of integral representations which are convenient for finding the asymptotic behaviour. For the SU(N) bosonic models we prove upper bounds which decay as a power law at large momentum p. We argue that these capture the full asymptotic behaviour. We also indicate how to extend the results to some correlation functions of Polyakov lines.

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